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4 = 2 × 2, or the Power of Even Integers in Fourier Analysis
[SNAP-2023-006-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2023-12-30)
We describe how simple observations related to vectors of length 1 recently led to the proof of an important mathematical fact: the sharp Stein–Tomas inequality from Fourier restriction theory, a pillar of modern harmonic ...
Characterizations of intrinsic volumes on convex bodies and convex functions
[SNAP-2022-011-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-08)
If we want to express the size of a two-dimensional shape with a number, then we usually think about its area or circumference. But what makes these quantities so special? We give an answer to this question in terms of ...
Waves and Incidences
[SNAP-2024-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2024-04-09)
The wave equation in Euclidean spaces describes many natural phenomena such as sound, light, or water waves. We explore how its solutions are related to the geometric problem of how long thin cylinders can intersect each ...